Reliability-based assessment and calibration of standards for the lateral vibration of pedestrian bridges

Abstract

Ensuring vibrations remain tolerable to occupants is central to the serviceability limit state (SLS) design of lightweight pedestrian bridges. In general, pedestrians tend to be more sensitive to lateral bridge vibrations compared to vertical vibrations, which underscores the importance of serviceability limit state (SLS) design in the lateral direction. Significant uncertainties associated with the pedestrian loading and bridge behaviour motivate the need to treat serviceability design provisions from a reliability standpoint. This paper is a first attempt towards such an assessment and code calibration of SLS provisions applicable to the lateral direction in the existing major pedestrian bridge design guidelines (ISO 10137, Eurocode 5 and SÉTRA). For this purpose, this study adopts a reliability-based framework, which accounts for the uncertainties arising from the pedestrian loading, perceptions of vibration by pedestrians, and structural damping. Furthermore, SLS design generally considers commonly occurring design traffic densities only. However, several historical lateral vibration serviceability failures of pedestrian bridges have occurred under infrequent loading events. Hence, this paper also incorporates infrequent traffic event (load case) in the reliability assessment and calibration of the design guidelines. Results show that metal truss-type pedestrian bridges under design and infrequent traffic events need to be designed to a higher reliability level (through calibration) than currently achieved by these provisions under the design event. Adopting traffic density and frequency-dependent acceleration limits can mitigate overdesigns resulting from the calibration exercise. The desired reliability index required to achieve minimum acceptable performance of the designs under both the design and infrequent events is estimated iteratively in the proposed procedure, followed by the calculation of design calibration factors. This study shows that the calibration of some design provisions (e.g., SÉTRA) depends on amplitude-dependent damping values, while this is not the case with other provisions. This dependency can be attributed to differences in the form of the limit state function. Finally, it is shown that the proposed calibration process achieves sufficient and consistent reliability across all bridge classes under design and infrequent traffic events in the lateral direction, while ensuring economic designs using traffic density and frequency-based comfort limits.